A Lie-Trotter formula for Riemannian manifolds and applications

Document Type

Article

Publication Date

11-19-2010

Abstract

In this paper we derive a Lie-Trotter formula for general Riemannian manifolds based on the local existence of a midpoint operation and given in terms of that operation. As a corollary one obtains that continuous maps between Riemannian manifolds that preserve the local midpoint structure are smooth. In particular, this is true for (local) isometries. © 2010 Heldermann Verlag.

Publication Source (Journal or Book title)

Journal of Lie Theory

First Page

665

Last Page

672

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